Finite- and Fixed-Time Cluster Synchronization of Nonlinearly Coupled Delayed Neural Networks via Pinning Control

被引：36

作者：

Zhang, Xin ^{[1
,2
,3
]}

Zhou, Wuneng ^{[4
]}

Karimi, Hamid Reza ^{[2
]}

Sun, Yuqing ^{[3
,5
]}

机构：

[1] Suzhou Univ Sci & Technol, Sch Elect & Informat Engn, Suzhou 215009, Peoples R China

[2] Politecn Milan, Dept Mech Engn, I-20156 Milan, Italy

[3] Donghua Univ, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China

[4] Donghua Univ, Engn Res Ctr Digitized Text & Fash Technol, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China

[5] Shanghai Univ Engn Sci, Coll Elect & Elect Engn, Shanghai 201620, Peoples R China

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2021年 / 32卷 / 11期

基金：

上海市自然科学基金;

关键词：

Synchronization; Artificial neural networks; Couplings; Stability analysis; Delays; Neurons; Cluster synchronization; delayed neural networks (NNs); finite-time; fixed-time; nonlinearly coupled; pinning control; EXPONENTIAL SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; STABILIZATION; SYSTEMS;

D O I：

10.1109/TNNLS.2020.3027312

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this article, the cluster synchronization problem for a class of the nonlinearly coupled delayed neural networks (NNs) in both finite- and fixed-time cases are investigated. Based on the Lyapunov stability theory and pinning control strategy, some criteria are provided to ensure the cluster synchronization of the nonlinearly coupled delayed NNs in both finite-and fixed-time aspects. Then, the settling time for stabilization that is dependent on the initial value and independent of the initial value is estimated, respectively. Finally, we illustrate the feasibility and practicality of the results via a numerical example.

引用

页码：5222 / 5231

页数：10

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